scholarly journals Random attractors for stochastic discrete long wave-short wave resonance equations driven by fractional Brownian motions

2021 ◽  
Vol 6 (3) ◽  
pp. 2900-2911
Author(s):  
Ranran Liu ◽  
◽  
Hui Liu ◽  
Jie Xin ◽  
◽  
...  
Keyword(s):  
Short Wave ◽  
Brownian Motions ◽  
Fractional Brownian Motions ◽  
Long Wave ◽  
Wave Resonance ◽  
Random Attractors

scholarly journals Random Attractors for the Stochastic Discrete Long Wave-Short Wave Resonance Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
Jie Xin ◽  
Hong Lu
Keyword(s):  
Dynamical System ◽  
Short Wave ◽  
Random Attractor ◽  
Random Dynamical System ◽  
Asymptotic Compactness ◽  
Infinite Lattice ◽  
Long Wave ◽  
Wave Resonance ◽  
Random Attractors

We prove the existence of the random attractor for the stochastic discrete long wave-short wave resonance equations in an infinite lattice. We prove the asymptotic compactness of the random dynamical system and obtain the random attractor.

Modeling internal rogue waves in a long wave-short wave resonance framework

2018 ◽  
Vol 3 (12) ◽  
Author(s):  
H. N. Chan ◽  
R. H. J. Grimshaw ◽  
K. W. Chow
Keyword(s):  
Rogue Waves ◽  
Short Wave ◽  
Long Wave ◽  
Wave Resonance

Application of the Weierstrass Elliptic Expansion Method to the Long-Wave and Short-Wave Resonance Interaction System

2008 ◽  
Vol 63 (5-6) ◽  
pp. 273-279 ◽  
Author(s):  
Xian-Jing Lai ◽  
Jie-Fang Zhang ◽  
Shan-Hai Mei
Keyword(s):  
Periodic Solutions ◽  
Elliptic Function ◽  
Expansion Method ◽  
Short Wave ◽  
Resonance Interaction ◽  
Solitary Wave Solutions ◽  
Jacobian Elliptic Function ◽  
Weierstrass Elliptic Function ◽  
Long Wave ◽  
Wave Resonance

With the aid of symbolic computation, nine families of new doubly periodic solutions are obtained for the (2+1)-dimensional long-wave and short-wave resonance interaction (LSRI) system in terms of the Weierstrass elliptic function method. Moreover Jacobian elliptic function solutions and solitary wave solutions are also given as simple limits of doubly periodic solutions.

scholarly journals Dynamics of solitons in multicomponent long wave–short wave resonance interaction system

Pramana ◽  
2015 ◽  
Vol 84 (3) ◽  
pp. 327-338 ◽  
Author(s):  
T KANNA ◽  
K SAKKARAVARTHI ◽  
M VIJAYAJAYANTHI ◽  
M LAKSHMANAN
Keyword(s):  
Short Wave ◽  
Resonance Interaction ◽  
Long Wave ◽  
Interaction System ◽  
Wave Resonance

scholarly journals Rogue Wave Modes for the Long Wave–Short Wave Resonance Model

2013 ◽  
Vol 82 (7) ◽  
pp. 074001 ◽  
Author(s):  
Kwok Wing Chow ◽  
Hiu Ning Chan ◽  
David Jacob Kedziora ◽  
Roger Hamilton James Grimshaw
Keyword(s):  
Rogue Wave ◽  
Short Wave ◽  
Resonance Model ◽  
Long Wave ◽  
Wave Resonance ◽  
Wave Modes
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